Abstract: Sufficient conditions are given for the existence of light open mappings between p.l. manifolds. In addition, it is shown that a mapping f from a p.l. manifold , to a polyhedron Q is homotopic to an open mapping of M onto Q iff the index of in is finite. Finally, it is shown that an open mapping of onto a p.l. manifold , can be approximated by a light open mapping of M onto N.

[11]Louis
F. McAuley, Some fundamental theorems and problems related to
monotone mappings., Proc. First Conf. on Monotone Mappings and Open
Mappings (SUNY at Binghamton, Binghamton, N.Y., 1970) State Univ. of New
York at Binghamton, N.Y., 1971, pp. 1–36. MR
0287518